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Finding the Fourth Proportional to 1,608.80, 2,219.04 and 978.89

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Solution

The fourth proportional to 1,608.80, 2,219.04 and 978.89 is: 1,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.80 : 2,219.04 = 978.89 : x
  2. Step 2: Convert to fraction form
    1,608.80/2,219.04 = 978.89/x
  3. Step 3: Cross multiply
    1,608.80x = 2,219.04 × 978.89
  4. Step 4: Simplify right side
    1,608.80x = 2,172,184.97
  5. Step 5: Solve for x
    x = 2,172,184.97/1,608.80
  6. Step 6: Final answer
    x = 1,350.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.